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MARKET ANALYSIS: MEDIAN OR MEAN

Median and mean are useful measures of distribution that identify central values and tendencies of a data set.  In a WageWatch compensation survey, median is the middle wage in a set of ranked market wages which separates the data set in half. When an even number of wages are ranked, with no true middle value, the average of the two middle data points is the median wage. Median is also called the 50th percentile.

The arithmetic mean which is also called the simple average or mean is one of the most commonly used statistics in business. One of the reasons is that it is very easy to calculate. It is the sum of all values of a data set divided by the number of values in that set.

In a normal distribution of data, the median and mean wages will be within a few cents of each other. When the mean is greater than the median, this indicates the data set is skewed towards higher wages. Similarly, when the mean is less than the median, this indicates the data set is skewed towards lower wages. Skewing typically occurs for one of two reasons: either the data set is not normally distributed, or the mean is affected by outliers or errors in the data set. The first situation is not uncommon and occurs when there is wage compression or the data is bimodal, meaning that the job description may be too broad and need to be bifurcated into two job titles. The second reason for the mean and the median being significantly different, due to an outlier or data error, is much more of a concern

Here is an example of how data affects the median and mean differently when an outlier is added to the data set.

Data Set A:  $9.25, $10.11, $10.56, $11.98, $12.50, $12.88;                  Median $11.27,  Mean $11.21

Data Set B:  $9.25, $10.11, $10.56, $11.98, $12.05, $12.31, $125.00;   Median $11.98, Mean $27.32

In this example, it is clear that once the $125.00 value is added as an outlier, the median wage becomes the better indication of the central value. Comparing the median with the mean from Set B tells us that while the middle wage or median is $11.98, there appear to be employers paying at the top of the market, skewing the mean up sharply. The only way to know for certain if the difference between the median and mean is accurate or due to an error is a more thorough analysis of the data. If more data analysis is not possible, then the median is your better statistic to use.

WageWatch offers accurate, up-to-date benefit survey data, market compensation data and salary reports that will allow you to stay current with the times. This information is highly beneficial in creating the best salary and benefits packages that meet or rival the industry standards. The PeerMark™ Wage Survey is the only Web-based custom survey tool that allows individual survey participants to select their competitive set for comparison purposes.  Our experienced compensation consultants can assist with your organization’s compensation needs.  We can help you ensure internal equity and compliance with regulations as well as help you structure your compensation programs to support your company’s business strategy and objectives.   For more information on our services, including consulting, salary survey data, benefit survey data and market compensation reports, please call WageWatch at 888-330-9243 or contact us online.

This entry was posted on Wednesday, October 1st, 2014 at 2:06 PM and is filed under Uncategorized. You can follow any responses to this entry through the RSS 2.0 feed. Both comments and pings are currently closed.